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aleksandrvk [35]
3 years ago
13

Which values are in the solution set of 111 = z^2 + 11 if the replacement set is {10, 12, 14, 16, 18}?

Mathematics
1 answer:
pantera1 [17]3 years ago
8 0

Answer:

10

Step-by-step explanation:

Z ^2+11=111

Z ^2=100

Z=10

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Ana participated in a charity walk. She
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Answer:

if $0.25 for each mile, then $1.00 =1 mile.

so the first day would be = $1=1mile

$n=11 miles

= 1n= 11×1=$ 11

Step-by-step explanation:

and the 2nd day is = 14×1= $14.

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8 0
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Two planes, A and B, start from the same place and move in different directions, making an angle of 50º between them. The speed
cluponka [151]

Answer: The distance between them is 230.65 miles.

Step-by-step explanation:

Since we have given that

Speed of plane A (b) = 200 miles per hour

Speed of plane B (c) = 300 miles per hour

Angle between them = 50°

So,

We will use the "Cosine formula", we get

a^2=b^2+c^2-2bc\cos A\\\\a^2=200^2+300^2-2\times 200\times 300\cos 50\textdegree\\\\a^2=40000+90000-120000\cos 50\textdegree\\\\a^2=130000-120000\times 0.64\\\\a^2=130000-76800\\\\a^2=53200\\\\a=\sqrt{53200}\\\\a=230.65\ miles\ per\ hour

So, distance between the two planes after one hour will be

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6 0
4 years ago
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5 0
3 years ago
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Factorize:<br>(2a - b)² - (a - 2b)²​
bagirrra123 [75]

Answer:

3(a - b)(a + b)

Step-by-step explanation:

Factorize: (2a - b)² - (a - 2b)²​

  • Different of Perfect a Square rule: a²​ - b²​ = (a + b)(a - b)

(2a - b)² - (a - 2b)²​ = [(2a - b) + (a - 2b)] × [(2a - b) - (a - 2b)]

1. Distribute and Simplify:

Distribute the (+) sign on the first bracket and simplify: [(2a - b) + (a - 2b)] → 2a - b + a - 2b → (3a - 3b)

Distribute the (-) sign on the first bracket and simplify: [(2a - b) - (a - 2b)] → 2a - b – a + 2b → (a + b)

We now have:

(3a - 3b)(a + b)

2. Factor out the Greatest Common Factor (3) from 3a - 3b:

(3a - 3b) → 3(a - b)

3. Add "(a + b)" back into your factored expression:

3(a - b)(a + b)

Hope this helps!

7 0
2 years ago
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